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Is it possible to create a tessellation from pentagons?
Regular pentagons will not tessellate but there are 15 classes of convex pentagons – the latest discovered in 2015 – which will tessellate.
Do pentagons tessellate?
No they do not tessellate...believe me I've tried and I've been told you couldn't * * * * * Clearly, you did not try enough. There are 15 pentagons which will tessellate: the last of these was discovered in August 2015. To see more visit en.wikipedia.org/wiki/Pentagonal_tiling
Which polygons do not tessellate?
Pentagons, decagons, and octagons will not tessellate. In order to create a tessellation, the sum of the angles at a point must be 360.
How many types of tessellation?
There are infinitely many. For example, every different triangle can tessellate. There are 15 types of pentagons which will tessellate.
Why is it that only quadrilaterals triangles and hexagons can tessellate the plane?
There can be no answer because the assertion is not true. There are 15 types of convex pentagons - the last discovered in 2015 - which will tessellate.
